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Popular >

integral from 0 to 4 of x^2-3x

Solution

\int_{0}^{4} x^{2} - 3 x d x

Solution

- \frac{8}{3}

+1

Decimal Notation

- 2.66666 \dots

Solution steps

\int_{0}^{4} x^{2} - 3 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{4} x^{2} d x - \int_{0}^{4} 3 x d x

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 3 x d x = 24

= \frac{64}{3} - 24

Simplify

\frac{64}{3} - 24 : - \frac{8}{3}

= - \frac{8}{3}

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\int_{3}^{5} \frac{x ^{3}}{8} d x

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\int_{0}^{2 π} sin (2 x) sin (x) d x

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integral of x^5-5x^{-2}+2

\int x^{5} - 5 x^{- 2} + 2 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of x^2-3x ?
The integral from 0 to 4 of x^2-3x is -8/3